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[answered] Benedictine University MGM 150 Test 4: Probability Distribu


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Benedictine University

 

MGM 150

 

Test 4:

 

Probability Distributions/Binomial Distribution 1. 2. Questions 3-4 are binomially distributed.

 

3. A survey from the teenage Research Unlimited (Northbrook Illinois) found that 30% of teenage

 

jobs consumers receive their spending money from part time jobs. If 5 teenagers are selected at

 

random, find the probability of the following

 

a. 3 will have part time jobs

 

b. 4 will have part time jobs

 

c. 5 will have part time jobs

 

d. At least 3 have part time jobs

 

4. Thirty-two percent of adult internet users have purchased products or services online. For a

 

random sample of 200 adult internet users, find the mean, variance and standard deviation for

 

the number who have purchased goods or services online. Chapter 7: The Normal Distribution

 

5. Find the area under the standard normal distribution curve:

 

a. between z = 0 and z = 1.77

 

b. between z = 0.24 and z = ?2.14

 

c. To the right of z = 2.01

 

d. To the right of z =1.92 and to the left of z=-0.44

 

e. To the left of z = -2.15 and to the right of z= 1.62

 

6. Find probabilities for each, using the standard normal distribution:

 

a. P (0 < z < 1.96)

 

b. P (z > 2.51)

 

c. P (1.51 < z < 2.17)

 

7. The average annual salary for all U.S. teachers is $47,750. Assume that that distribution is

 

normal and the standard deviation is $5680. Find the probability that a randomly selected

 

sample of teachers earns. (give both answers to four decimal places)

 

a. Between $35,000 and $45,000 a year

 

b. More than $40,000 a year.

 

For Questions 8 ? 9, create a scatterplot of data, compute the correlation coefficient,

 

(r), determine whether a linear relation exists, comment on the nature of the

 

association (i.e. positive or negative) if it exists.

 

8. x

 

y 2

 

4 4

 

8 6

 

10 6

 

13 7

 

20 x

 

y 2

 

10 3

 

9 5

 

7 6

 

4 6

 

2 9. For each data set below (In questions 10 and 11), determine the least-squares regression line

 

equation (y = ax+b). (Hint: View the videos)

 

10. x

 

y 0

 

5.8 2

 

5.7 3

 

5.2 5

 

2.8 6

 

1.9 x

 

y 2

 

1.4 4

 

1.8 8

 

2.1 8

 

2.3 9

 

2.6 11. 6

 

2.2

 


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